Atkin-Lehner |
2- 3- 7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
75348i |
Isogeny class |
Conductor |
75348 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
208896 |
Modular degree for the optimal curve |
Δ |
15599968242768 = 24 · 310 · 74 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-94260,11137201] |
[a1,a2,a3,a4,a6] |
Generators |
[110:1449:1] |
Generators of the group modulo torsion |
j |
7940694857728000/1337445837 |
j-invariant |
L |
5.7827278932626 |
L(r)(E,1)/r! |
Ω |
0.67635207691363 |
Real period |
R |
0.35624492588358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001714 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25116f1 |
Quadratic twists by: -3 |